Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample924.0ms (51.9%)

Results

911.0ms

8256×

body

256

valid

preprocess19.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 x (/.f64 1 3))

Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 1 3))

Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)

eval1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x -1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x -1/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x -1/3)
0.0ms	x	@	0	(+.f64 x -1/3)
0.0ms	x	@	-inf	(+.f64 x -1/3)

rewrite83.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`pow1_binary64`
468×	`add-sqr-sqrt_binary64`
456×	`*-un-lft-identity_binary64`
446×	`add-log-exp_binary64`
446×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	91	4
2	1151	4

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x -1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))))

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	39
1	7	39
2	8	39

Stop Event

1×

saturated

Counts

42 → 34

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)

eval8.0ms (0.4%)

Compiler: Compiled 268 to 198 computations (26.1% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.5b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
	30.5b	x
	32.2b	-1/3
✓	0.0b	(+.f64 x -1/3)

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize19.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/9 (*.f64 x x))
✓	0.0b	(-.f64 -1/3 x)
✓	16.2b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
1.0ms	x	@	inf	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
1.0ms	x	@	-inf	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
0.0ms	x	@	inf	(-.f64 1/9 (*.f64 x x))
0.0ms	x	@	0	(-.f64 1/9 (*.f64 x x))

rewrite136.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`unpow-prod-down_binary64`
430×	`log-prod_binary64`
251×	`prod-diff_binary64`
245×	`pow2_binary64`
241×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	194	15
2	2754	15

Stop Event

1×	node limit

Counts

3 → 278

Calls

Call 1

Inputs
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 -1/3 x)
(-.f64 1/9 (*.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1/3) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)))) (sqrt.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x))) (/.f64 (.f64 x x) (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1/3) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 -1/3 x)))) (/.f64 x (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (.f64 x x) (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/9 (/.f64 1 (-.f64 -1/3 x)) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1/9 (-.f64 -1/3 x)) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1/9 (-.f64 1/9 (.f64 x x))) (+.f64 x -1/3) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1/9 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9) (neg.f64 (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 -1/3 x))) (.f64 x x) (.f64 (/.f64 1 (-.f64 -1/3 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/9 (/.f64 1 (-.f64 -1/3 x)) (neg.f64 (.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)) 1))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x))) 1 (.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1/9 (-.f64 -1/3 x)) (neg.f64 (.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)) 1))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x))) 1 (.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (neg.f64 (.f64 (/.f64 (.f64 x x) (-.f64 -1/3 x)) 1))) 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Outputs

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-1/3)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/9 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/9 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/9 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/729 (*.f64 -1 (pow.f64 x 6))) (+.f64 1/81 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 1/9 (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1/9 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81) (-.f64 1/729 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 1/9 (*.f64 x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1/9)))))

simplify109.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-lft-neg-in_binary64`
648×	`distribute-rgt-neg-in_binary64`
456×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
349×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	185
1	27	167
2	44	158
3	81	158
4	188	158
5	519	158
6	1680	158
7	3502	158
8	4835	158
9	6159	158
10	7002	158

Stop Event

1×	node limit

Counts

314 → 290

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1/9)
(neg.f64 (fma.f64 x x -1/9))

eval307.0ms (17.2%)

Compiler: Compiled 7368 to 4940 computations (33% saved)

prune34.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	290	4	294

Error

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
	32.2b	-1/3
✓	0.0b	(+.f64 x -1/3)
	30.5b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
	32.2b	-1/3
✓	0.0b	(+.f64 x -1/3)
	30.5b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.5b	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
	32.2b	-1/3
✓	0.0b	(+.f64 x -1/3)
	30.5b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (1%)

Counts

6 → 1

Calls

Call 1

Inputs
x
x
-1/3
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))

Outputs
(+.f64 x -1/3)

Calls

3 calls:

9.0ms	x
4.0ms	(-.f64 x (/.f64 1 3))
3.0ms	(-.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 x (/.f64 1 3))`
0.0b	1	`(-.f64 x (/.f64 1 3))`

Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes11.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
-1/3

Outputs
x
-1/3
x

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch28.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	4.332061406564082e-17	643402.3745248648
15.0ms	-0.6582595272765548	-5.0252730904717885e-15

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
30.5b	1	`x`

Compiler

Compiled 5 to 2 computations (60% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x -1/3)
(if (<=.f64 x -12142745033751638016/18446744073709551616) x (if (<=.f64 x 878646438761041/20282409603651670423947251286016) -1/3 x))
x

Outputs
(+.f64 x -1/3)
(if (<=.f64 x -12142745033751638016/18446744073709551616) x (if (<=.f64 x 878646438761041/20282409603651670423947251286016) -1/3 x))
(if (<=.f64 x -2964537361755771/4503599627370496) x (if (<=.f64 x 878646438761041/20282409603651670423947251286016) -1/3 x))
x

Compiler

Compiled 18 to 12 computations (33.3% saved)

soundness8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	12	4
2	13	4

Stop Event

1×

saturated

Compiler

Compiled 22 to 18 computations (18.2% saved)

end27.0ms (1.5%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

Details

analyze5.0ms (0.3%)

sample924.0ms (51.9%)

preprocess19.0ms (1%)

simplify7.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite83.0ms (4.7%)

simplify8.0ms (0.5%)

eval8.0ms (0.4%)

prune6.0ms (0.3%)

localize19.0ms (1.1%)

series4.0ms (0.2%)

rewrite136.0ms (7.6%)

simplify109.0ms (6.1%)

eval307.0ms (17.2%)

prune34.0ms (1.9%)

eval0.0ms (0%)

prune6.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes17.0ms (1%)

regimes11.0ms (0.6%)

bsearch28.0ms (1.6%)

regimes6.0ms (0.3%)

simplify4.0ms (0.2%)

soundness8.0ms (0.5%)

end27.0ms (1.5%)

Profiling